Dr. Barbara Keyfitz has made deep and original contributions in
the field of nonlinear partial differential equations, with
particular emphasis on hyperbolic systems of conservation laws
and evolution equations that change type. Such systems arise in
models for multiphase flow in porous media, and in two-phase
compressible and incompressible flow.

Several times during her career, she had a pioneering role in
tackling the most challenging problems in the field, and she
opened up a new research direction when she developed a powerful
new technique dealing with free boundary problems to further the
understanding of transonic shocks.

Keyfitz studied also bifurcation problems in reaction-diffusion
equations, especially in the theory of shock waves. She
succeeded in adapting techniques from vector field dynamics to
the problem of the admissibility of shock waves, a long-lasting
question in applied mathematics.

With Suncica Canic and Eun Heui Kim, she is currently working on
the analysis of self-similar solutions of systems of conservation
laws in two space dimensions.

Professor Keyfitz graduated from the University of Toronto in
1966 and obtained her Ph.D. under Peter Lax at the Courant
Institute in 1970. She held positions at Columbia University,
Princeton University, and
Arizona State University, and is currently the John and Rebecca
Moores Professor at the University of Houston. She is a Fellow
of the American Association for the Advancement of Science and
has been and continues to be a member of the editorial boards of
many mathematical journals, including the SIAM Journal of Applied
Mathematics.

Dr. Keyfitz has been a thesis advisor, postdoctoral advisor, and
collaborator for a whole generation of mathematicians and
continues to play an important role in promoting mathematics and
helping young mathematicians worldwide. She has remained
involved in Canadian mathematics, not only as a regular
participant in conferences, but also supporting Canadian
research as external reviewer for departments, as a member of the
Scientific Advisory Panel at the Fields Institute, the NSERC
Reallocations Committee, and the college of reviewers for the
Canada Research Chairs program.

Dr. Barbara Keyfitz will present the 2005 Krieger-Nelson Prize
Lecture at Waterloo University in June 2005.

CMS 2005 Jeffery-Williams Prize:

Dr. Edward Bierstone and Dr.
Pierre Milman (University of Toronto)

The
Jeffery-Williams Prize
recognizes mathematicians who have
made outstanding contributions to mathematical research.

Dr. Edward Bierstone and Dr. Pierre Milman are honoured jointly
for their highly significant work in the study of analytic and
geometric properties of singular spaces.

Together, they found an amazingly short and ingenious proof of
Hironaka's theorem on resolution of singularities, transforming
that result from a monument to be admired to a tool to be used,
bringing a new dimension of understanding and accessibility to
the resolution process, at the same time extending it, and its
applications, to a considerably wider range of spaces.

Jointly with Wieslaw Pawlucki, they achieved as well important
progress on the classical open problem posed by Whitney about
differentiable extensions of functions from subsets to the
ambient space.

Dr.'s Bierstone and Milman have also made crucial contributions
to the geometry of sub- and semi-analytic sets, exploring their
relationship to differentiable functions. Their methods are
expected to continue to reveal new and significant features of
singular spaces.

Dr. Edward Bierstone obtained his B.Sc. from the University of
Toronto in 1969 and his Ph.D. from Brandeis University in 1973,
under the direction of Richard S. Palais. He returned to the
University of Toronto as a faculty member in 1973 and has been a
Professor there since 1982.

Dr. Bierstone has been a member of the Institut des Hautes
Etudes Scientifiques in Bures-sur-Yvette, France, a member of the
Institute of Advanced Study in Princeton, and a visiting
professor in Brazil and France. In 1992, he was elected Fellow
of the Royal Society of Canada, in 1996 he won the Outstanding
Teaching Award of the Faculty of Arts & Science at the University
of Toronto, and in 2002 he was appointed a Fellow of the Fields
Institute. He has also served as chair and member of an NSERC
Grant Selection Committee and as chair of the Nominations
Committee for the NSERC Reallocations Steering Committee for
Mathematics.

Dr. Pierre Milman graduated with a B.A. from the University of
Moscow in1967 and obtained his Ph.D. from the University of Tel-
Aviv in 1975, after an interlude of several years as Researcher
at the Institute of Chemical Physics and then Solid State Physics
in Moscow.

In 1975, he came to the University of Toronto as Lecturer and
Research Associate, and after holding a Visiting Assistant
Professorship at Purdue University from 1978 to 1980, he returned
to the University of Toronto, first as an NSERC University
Research Fellow until 1985, then as Associate Professor and,
since 1986, as Professor.

In 1997, Dr. Milman was elected Fellow of the Royal Society of
Canada, and in 2000 he was awarded a Killam Research Fellowship.

The 2005 Jeffery-Williams Prize Lecture will be given at the CMS
Summer Meeting, hosted by Waterloo University in June 2005.

CMS 2004 Coxeter-James Prize:

Dr. Izabella Laba (University of British Columbia)

The
Coxeter-James Prize
recognizes young mathematicians who have
made outstanding contributions to mathematical research.

Dr. Izabella Laba is an outstanding young analyst with research
interests in Harmonic Analysis, Combinatorics and Mathematical
Physics. Her work spans a broad spectrum from pseudo-differential
calculus to Szemerédi's theorem, with major contributions to
quantum scattering theory and geometric combinatorics.

In her Ph.D. thesis, Laba made significant contributions to the
theory of N-particle scattering in a constant magnetic field,
addressing the issue of asymptotic completeness for various
Hamiltonians and decaying potentials in the nonlinear Schrödinger
equation. She continued this work jointly with Christian Gérard
and they presented these results in a monograph in 2002.

A second thread in Laba's work concerns the Kakeya conjecture on
Hausdorff and Minkowski dimension of Besicovitch sets. Her joint
work with Nets Katz and Terence Tao is hailed as a breakthrough,
surmounting a natural barrier to improving earlier lower bounds
by Thomas Wolff and Jean Bourgain.

Her current research deals with questions in combinatorial number
theory and measure theory, constructing, with Michael T. Lacey,
"large" sets of integers without k-progression, and working, with
Mihail N. Kolountzakis, on periodic tilings and spectral domains
in Euclidean space.

Dr. Izabella Laba obtained an M.Sc from Wroclaw University,
Poland, in 1986. After three years as a Research Teaching
Assistant at Wroclaw University, she attended the University of
Toronto and obtained her Ph.D. under the direction of Israel
Michael Sigal in 1994. Her thesis dealt with "N-particle
Scattering in Constant Magnetic Fields".

She held a Hedrick Assistant Professorship at the University of
California at Los Angeles, UCLA, from 1994 to 1997 and an
Assistant Professorship at Princeton University from 1997 until
2000. In July 2000, she joined the University of British
Columbia as an Associate Professor and was granted tenure there
two years later.

Dr. Izabella Laba will present the 2004 Coxeter-James Prize
Lecture at the CMS Winter Meeting, hosted by McGill University,
in December 2004.